Occupation densities for certain processes related to fractional Brownian motion
Probability
2008-01-23 v1
Abstract
In this paper we establish the existence of a square integrable occupation density for two classes of stochastic processes. First we consider a Gaussian process with an absolutely continuous random drift, and secondly we handle the case of a (Skorohod) integral with respect to the fractional Brownian motion with Hurst parameter . The proof of these results uses a general criterion for the existence of a square integrable local time, which is based on the techniques of Malliavin calculus.
Keywords
Cite
@article{arxiv.0801.3314,
title = {Occupation densities for certain processes related to fractional Brownian motion},
author = {Khalifa Es-Sebaiy and David Nualart and Youssef Ouknine and Ciprian Tudor},
journal= {arXiv preprint arXiv:0801.3314},
year = {2008}
}